Two long concentric cylindrical shells are both centered on a long wire. The lon
ID: 1895067 • Letter: T
Question
Two long concentric cylindrical shells are both centered on a long wire. The long wire has a constant charge density l = 125 microcoulombs per meter. The smaller cylinder has a radius of 4.25 centimeters and has a constant charge density that appears from the outside as l = - 125 microcoulombs per meter. The larger cylinder has a radius of 9 centimeters and has a constant charge density that appears from the outside as l = 125 microcoulombs per meter.Find the magnitude of the electric field at a distance of 2.55 centimeters from the central wire.
Find the magnitude of the electric field at a distance of 11 centimeters from the central wire.
Explanation / Answer
Electric field at a distance r from a wire(or cylinder) by using Gauss' law
E=/2r0, =charge/unit length
1. r=2.55 cm, =125 * 10^-6 C ( contribution from two clinders wont be there)
Substitute the value
2. r=11 cm, =sum of charge of wire and two cylinders=125 * 10^-6 C
Substitute the value.
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